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  1. The value of
    sin A
    		+
    sin A
    		is (0° < A < 90°)
    1 + cos A1 - cos A
    1. 2 cosec A
    2. 2 sec A
    3. 2 sin A
    4. 2 cos A
Correct Option: A

sinA
 +
sinA
1 + cosA1 - cosA

=
sinA(1 - cos A) + sinA (1 + cos A)
= sinA – sinA cos A
(1 - cos A) (1 + cos A)

=
+ sinA + sinA . cosA
1– cos²A

=
2sin A
 = 2 cosecA
sin²A



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